The Mathematical Symbol "Neither Greater-Than nor Equal To (≱)"
The "Neither Greater-Than nor Equal To" Symbol (≱)
In the vast ocean of mathematical notation, symbols play a pivotal role in ensuring precise communication. Among them, the ≱ symbol, representing "Neither Greater-Than nor Equal To", is of particular interest. This article explores the meaning and usage of this special symbol.
Understanding ≱
The ≱ symbol is an inequality operator used to denote that one value is neither greater than nor equal to another. In simple terms, it indicates that the value on the left is strictly less than the value on the right. This is the opposite of the "greater-than or equal to" operator.
Example 1: Basic Inequality
If \( a \) and \( b \) are two real numbers and \( a \) is strictly less than \( b \), then the inequality can be expressed as: \[ a ≱ b \]
Example 2: Variables and Constants
If you want to state that a variable \( x \) is strictly less than a constant value, say 5, it can be written as: \[ x ≱ 5 \]
Applications of ≱
The ≱ notation is universally applicable across various mathematical domains:
- Algebra: While solving inequalities.
- Calculus: When discussing limits and functions' behaviors.
- Statistics: In identifying and describing data trends and outliers.
The ≱ symbol helps in decluttering mathematical expressions and provides clarity, especially in complex mathematical derivations and proofs.
In summary, the ≱ symbol is an instrumental component of the mathematical lexicon. It succinctly represents a specific type of relationship between two values, ensuring that mathematical arguments remain both concise and clear.
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Codes for the ≱ Symbol
| The Symbol | ≱ | |
| Alt Code | Alt 8817 | |
| HTML Code | ≱ | |
| HTML Entity | ≱ | |
| CSS Code | \2271 | |
| Hex Code | ≱ | |
| Unicode | U+2271 |
How To Insert the ≱ Symbol
(Method 1) Copy and paste the symbol.
The easiest way to get the ≱ symbol is to copy and paste it into your document.Bear in mind that this is a UTF-8 encoded character. It must be encoded as UTF-8 at all stages (copying, replacing, editing, pasting), otherwise it will render as random characters or the dreaded �.
(Method 2) Use the "Alt Code."
If you have a keyboard with a numeric pad, you can use this method. Simply hold down the Alt key and type 8817. When you lift the Alt key, the symbol appears. ("Num Lock" must be on.)(Method 3) Use the HTML Decimal Code (for webpages).
| HTML Text | Output |
|---|---|
| <b>My symbol: ≱</b> | My symbol: ≱ |
(Method 4) Use the HTML Entity Code (for webpages).
| HTML Text | Output |
|---|---|
| <b>My symbol: ≱</b> | My symbol: ≱ |
(Method 5) Use the CSS Code (for webpages).
| CSS and HTML Text | Output |
|---|---|
|
<style> span:after { content: "\2271";} </style> <span>My symbol:</span> | My symbol: ≱ |
(Method 6) Use the HTML Hex Code (for webpages and HTML canvas).
| HTML Text | Output |
|---|---|
| <b>My symbol: ≱</b> | My symbol: ≱ |
| JavaScript Text |
|---|
|
const x = "0x"+"E9" ctx.fillText(String.fromCodePoint(x), 5, 5); |
| Output |
≱ |
(Method 7) Use the Unicode (for various, e.g. Microsoft Office, JavaScript, Perl).
The Unicode for ≱ is U+2271. The important part is the hexadecimal number after the U+, which is used in various formats. For example, in Microsoft Office applications (e.g. Word, PowerPoint), do the following:| Type | Output |
|---|---|
| 2271 [Hold down Alt] [Press x] | ≱ (The 2271 turns into ≱. Note that you can omit any leading zeros.) |
| JavaScript Text | Output |
|---|---|
| let str = "\u2271" document.write("My symbol: " + str) | My symbol: ≱ |